The polarized transition matrix element \(A_{gq}(N)\) of the variable flavor number scheme at \(O(\alpha_s^3)\)

DOI10.1016/j.nuclphysb.2021.115331OpenAlexW3126546060MaRDI QIDQ2231869

Andreas von Manteuffel, K. Schönwald, A. Behring, Johannes Blümlein, Carsten Schneider, Abilio De Freitas

Publication date: 30 September 2021

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2101.05733

Mathematics Subject Classification ID

Strong interaction, including quantum chromodynamics (81V05) Transition functions, generators and resolvents (60J35) Operator matrices (47A08)

Related Items (7)

The first-order factorizable contributions to the three-loop massive operator matrix elements \(A_{Qg}^{(3)}\) and \(\Delta A_{Qg}^{(3)}\) ⋮ The massless three-loop Wilson coefficients for the deep-inelastic structure functions \(F_2\), \(F_L\), \(xF_3\) and \(g_1\) ⋮ \(O(\alpha_s^2)\) polarized heavy flavor corrections to deep-inelastic scattering at \(Q^2 \gg m^2\) ⋮ The inverse Mellin transform via analytic continuation ⋮ The three-loop polarized singlet anomalous dimensions from off-shell operator matrix elements ⋮ Differential Equations and Feynman Integrals ⋮ The SAGEX review on scattering amplitudes Chapter 4: Multi-loop Feynman integrals

Uses Software

• FORM
• HarmonicSums

Cites Work

• Unnamed Item
• Calculating three loop ladder and \(V\)-topologies for massive operator matrix elements by computer algebra
• Computer algebra in quantum field theory. Integration, summation and special functions
• \texttt{Reduze} -- Feynman integral reduction in \texttt{C++}
• The multiple zeta value data mine
• The \(O(\alpha_s^3)\) massive operator matrix elements of \(O(n_f)\) for the structure function \(F_{2}(x,Q^{2})\) and transversity
• Parameterized telescoping proves algebraic independence of sums
• Automatized analytic continuation of Mellin-Barnes integrals
• Structural relations of harmonic sums and Mellin transforms up to weight \(w=5\)
• The two-mass contribution to the three-loop gluonic operator matrix element \(A_{g g, Q}^{(3)}\)
• The \(O(\alpha_s^3 T_F^2)\) contributions to the gluonic operator matrix element
• Algebraic relations between harmonic sums and associated quantities.
• Multi-variable Zeilberger and Almkvist-Zeilberger algorithms and the sharpening of Wilf-Zeilberger theory
• The four-loop QCD \(\beta\)-function and anomalous dimensions
• The 3-loop non-singlet heavy flavor contributions and anomalous dimensions for the structure function \(\mathrm{F}_2(\mathrm{x, Q}^{\mathrm{2}})\) and transversity
• The three-loop splitting functions in QCD: the helicity-dependent case
• The 3-loop pure singlet heavy flavor contributions to the structure function \(F_2(x, Q^2)\) and the anomalous dimension
• The 3-loop non-singlet heavy flavor contributions to the structure function \(g_1(x, Q^2)\) at large momentum transfer
• A refined difference field theory for symbolic summation
• On the resolution of singularities of multiple Mellin-Barnes integrals
• Mellin moments of the \(O(\alpha_s^3)\) heavy flavor contributions to unpolarized deep-inelastic scattering at \(Q^{2}\gg m^{2}\) and anomalous dimensions
• The five-loop beta function of Yang-Mills theory with fermions
• The two-mass contribution to the three-loop pure singlet operator matrix element
• The five-loop beta function for a general gauge group and anomalous dimensions beyond Feynman gauge
• Five-loop renormalisation of QCD in covariant gauges
• Refined holonomic summation algorithms in particle physics
• Automated solution of first order factorizable systems of differential equations in one variable
• Automatic Feynman graph generation
• Massive 3-loop ladder diagrams for quarkonic local operator matrix elements
• The \(O(\alpha_s^3n_fT_F^2C_{A, F})\) contributions to the gluonic massive operator matrix elements
• The polarized three-loop anomalous dimensions from on-shell massive operator matrix elements
• The three-loop polarized pure singlet operator matrix element with two different masses
• The three-loop single mass polarized pure singlet operator matrix element
• The two-mass contribution to the three-loop polarized gluonic operator matrix element \(A_{gg, Q}^{(3)}\)
• Structural theorems for symbolic summation
• Three loop massive operator matrix elements and asymptotic Wilson coefficients with two different masses
• The \(O({\alpha}_s^2)\) heavy quark corrections to charged current deep-inelastic scattering at large virtualities
• The transition matrix element \(A_{gq}(N)\) of the variable flavor number scheme at \(O({\alpha}_s^3)\)
• Structural Relations of Harmonic Sums and Mellin Transforms at Weight w=6
• A Symbolic Summation Approach to Find Optimal Nested Sum Representations
• SIMPLIFYING SUMS IN ΠΣ*-EXTENSIONS
• Summation in Finite Terms
• HARMONIC SUMS, MELLIN TRANSFORMS AND INTEGRALS
• HARMONIC POLYLOGARITHMS
• Analytic computing methods for precision calculations in quantum field theory
• Solving parameterized linear difference equations in terms of indefinite nested sums and products
• Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms
• Analytic continuation of Mellin transforms up to two-loop order
• MATAD: A program package for the computation of MAssive TADpoles

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